All Product Catalog 2024

59 www.movingwithmath.com Research in England, Japan, China, and the United States supports the idea that mathematics instruction and student mathematics understanding will be more effective if manipulatives are used. James W. Heddens, Improving Mathematics Teaching by Using Manipulatives, Kent State University Students who had studied with manipulatives scored significantly higher on achievement tests ... Mark Driscoll, Research within Reach “ Learning begins with the concrete when meaningful items in the child’s immediate experience are used as a scaffolding to erect abstract ideas. Evidence indicates that manipulatives can provide valuable support for student learning when teachers interact over time with the students to help them build links between the object, the symbol, and the mathematical idea both represent. Findell, B., Kilpatrick, J., and Swafford, J. Adding it up: helping children learn mathematics, Washington D.C.: National Academy Press, 2001 ” Benefits of Using Manipulatives The primary benefit of Moving with Math® is that students become engaged and develop understanding of underlying concepts. Moving with Math uses manipulatives to introduce every objective. As students move through the three stages of learning, hands-on activities address the needs of kinesthetic, visual, and auditory learners. • The Concrete (Manipulative) stage consists of actual contact with objects. Students look at, touch, and move objects to understand key math concepts. • In the Representational (Pictorial) stage, students bridge the gap between the concrete and the abstract with strategies such as drawing pictures and studying visual drawings. • In the Abstract (Written Symbols) stage, real objects and pictures are connected to the abstract numerals and signs of arithmetic and algebra. Students gain understanding of abstract concepts from both the concrete and representational stages. M Ä ® Ö ç ½ ã ® ò Ý Concrete Manipulative Representational Picture Abstract Written Symbol CRA Instruction Model